Wiener-Hopf equations

Wiener-Hopf equations

[′vē·nər ′hȯpf i‚kwā·zhənz]
(mathematics)
Integral equations arising in the study of random walks and harmonic analysis; they are where g and K are known functions on the positive real numbers and ƒ is the unknown function.
References in periodicals archive ?
Kamimura, Inverse bifurcation problem, singular Wiener-Hopf equations, and mathematical models in ecology, J.
Introducing the Fourier transform for the unknown scattered field and applying boundary conditions in the transform domain, the problem is formulated in terms of the zero- and first-order Wiener-Hopf equations, which are solved exactly via the factorization and decomposition procedure.
Equations (32) and (33) are the zero- and first-order Wiener-Hopf equations, respectively.
Aslam Noor: Wiener-Hopf equations and variational inequalities, J.
Aslam Noor: Sensitivity analysis for variational inclusions by Wiener-Hopf equations technique, J.
Shi: Equivalence of Wiener-Hopf equations with variational inequalities, Proc.
There are several numerical methods including projection methods, Wiener-Hopf equations, descent and decomposition for solving variational inequalities; see [13]-[23].
Aslam Noor: Nonconvex Wiener-Hopf equations and variational inequalities, J.
In this paper, we first introduce a new class of Wiener-Hopf equations involving the projection of the real Hilbert space on the nonconvex set.
There is a substantial number of numerical methods including projection method and its variant forms, Wiener-Hopf equations, auxiliary principle, and descent framework for solving variational inequalities and complementarity problems; see [1]-[42] and the references therein.
Using the projection techniques, we establish the equivalence bewteen the multivalued general variational inequalities and the multivalued Wiener-Hopf equations. This equivalence is used to suggest and analyze a class of projection iterative methods for solving the multivalued general variational inequalities.
Related to the general variational inequalities, we also consider a new class of the Wiener-Hopf equations, which is called the general Wiener-Hopf equations.